Induced gravity from gauge theories

TL;DR

This paper explores how certain four-dimensional gauge theories can potentially describe quantum gravity, leading to emergent Riemann-Cartan geometry and linking physical constants to the theory's dynamics.

Contribution

It proposes a framework where gauge theories of de Sitter groups can give rise to gravity and relate quantum field theory concepts to spacetime geometry.

Findings

Emergence of Riemann-Cartan gravity from gauge theories

Identification of geometric spacetime observables with physical quantities

Determination of Newton and cosmological constants from the theory's dynamics

Abstract

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical theory. Specifically, we deal with de Sitter-type groups and show that a Riemann-Cartan first order gravity emerges. An analogy with quantum chromodynamics is also formulated. Under this analogy it is possible to associate a soft BRST breaking to a continuous deformation between both sectors of the theory, namely, ultraviolet and infrared. Moreover, instead of hadrons and glueballs, the physical observables are identified with the geometric properties of spacetime. Furthermore, Newton and cosmological constants can be determined from the dynamical content of the theory.